sin(x) & cos(x) for x = 10²² in radians

[dm319]

Interesting!

Any ideas why this is is difficult to answer?

Presumably relates to finding where 10^22 falls in the way of full turns plus radians?

On plus42, I find that 10^22 radians has 1591'549'430'918'953'357'688 full rotations, leaving behind 5.26300791462 radians.

Sin(5.26..) = -0.8522 etc
Cos(5.26..) = 0.5232

which gives similar answers to Sin(1e22) and cos(1e22). They are different by the order of 10^-13.